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Half-Dragons specialize in knockback damage, therefore it's important to position both you and your enemy in order to make the most out of it. Another unique trait to half-dragons are that their attacks deal magical damage. This basically ups the threat of Golems and Goats and lowers the threat of Goo Blobs and Wraiths. Knockback damage is still physical though, and you'll end up dealing more physical damage late game anyway. Dragon Stature gives half-dragons 10 extra health at the start, making level 1 catapults easier. The extra sight gives you more data, so that you don't have to knockback blindly.
Since most of the half-dragon's damage will be coming from knockback damage, glyphs used to aid positioning is great for them. WEYTWUT and ENDISWAL, and in some cases WONAFYT, can place the enemy or yourself so that they're behind a wall or monster. Other than those, there aren't any particular glyphs half-dragons require to be successful. However, APHEELSIK isn't as effective if you're unable to place an enemy so that you don't have to uncover tiles to approach them. Also, BURNDAYRAZ costs normal mana, unlike the Alpha version, so it can be used as a source of extra damage. PISORF is useless to half-dragons as a source of damage.
As for Gods, the half-dragon has great synergy with Binlor Ironshield, since you'll be breaking a lot of walls. Stone Skin and Stone Fist gives half-dragon serious amounts of damage, plus a bit of MR to boot. However, spamming his other boons may not be a great idea, as you'll need walls for damage. The other gods are decent choices, except Mystera Annur.
For items, Bear Mace is an obvious choice that gives half-dragons more late game power. Items that give attack damage are all welcome to half-dragons.